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Finding the Fourth Proportional to 141.02, 210.45 and 123.02

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Solution

The fourth proportional to 141.02, 210.45 and 123.02 is: 183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 210.45 = 123.02 : x
  2. Step 2: Convert to fraction form
    141.02/210.45 = 123.02/x
  3. Step 3: Cross multiply
    141.02x = 210.45 × 123.02
  4. Step 4: Simplify right side
    141.02x = 25,889.56
  5. Step 5: Solve for x
    x = 25,889.56/141.02
  6. Step 6: Final answer
    x = 183.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.